Find the exact values of the sine, cosine, and tangent of the angle.

Question

-5𝜋/12

sin(-5𝜋/12) = _____

cos(-5𝜋/12) = _____

tan(-5𝜋/12) = ______

Answer 1

Use the 1/2-angle formulas for sine, cosine, and tangent with Θ = - 5π/6, a benchmark angle, the exact trig values of which are known: sinΘ = - 1/2 , cosΘ = - √3 / 2 , and tanΘ = √3 / 3.